Consider the steady-state laminar flow of an incompressible and constant-property fluid parallel to a horizontal, infinitely large flat plate. Away from the surface the velocity of the fluid is U and its temperature is T. Assume that the plate is porous and fluid with a constant velocity of v, is sucked into the plate. (a) Prove that the velocity profile in the direction parallel to the plate is given by u = U(1- exp(-y)]. (b) Assume a boundary layer can be defined, at the edge of which u/U = 0.999. Find the boundary-layer thickness for water and air at room temper- ature and atmospheric pressure. (c) Repeat parts (a) and (b), this time assuming that the fluid is blown into the flow field through the porous plate with a constant velocity v

Q: (b) Consider fully developed flow of an incompressible Newtonian liquid in an in- finitely long tube…

A: (b Given Data u(y,z)=0y2a2+z2b2=1 On neglecting gravity the consistent state navier stokes…

Q: Consider the flow of a fluid with viscosity through a circular pipe. The velocity profile in the…

A: The velocity profile of the given flow is-The wall shear stress is written as-

Q: Consider a flow through a cross section of a circular pipe in which the flow is fully developed…

A:

Q: The flow of viscous incompressible fluid around a sphere with very small Reynolds number can be…

A:

Q: Toluene is being stored in a 5 m diameter cylindrical tank under a pressure of 400 kPa (absolute).…

A: The velocity of flow through the pie is to be calculated. Also time needed to empty the tank is to…

Q: Q3 Glycerin at 40°C with density of 1252 kg/m³ and viscosity of 0.27 kg/m.s is flowing through a…

A: Find,  Pumping power. Pressure drop.

Q: To cool a given room it is necessary to supply 4 ft3/s of air through a 5-in-diameter pipe.…

A:

Q: 2. Two plates and a fixed surface sandwich two viscous fluid films as shown in the figure. The top…

A:

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.